Question

Write an inequality to represent the graph?

Answer 1

Answer:

$\large\boxed{y>\dfrac{5}{2}x-3}$

Step-by-step explanation:

<, > - dotted line

≤, ≥ - solid line

<, ≤ - shaded region below the line

>, ≥ - shaded region above the line

We have dotted line (<, >) and shaded region above the line (>, ≥).

Therefore your answer is:

$y>\dfrac{2}{5}x-3$ or $y>\dfrac{5}{2}x-3$

Calculate the slope.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Put the coordinates of the given points from the graph:

(0, -3) and (2, 2):

$m=\dfrac{2-(-3)}{2-0}=\dfrac{5}{2}$